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1.3 2 648 ÷ 42 1.4 9 850 ÷ 50
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2. Now use any method of your choice and calculate:

2.1 15 350 ÷ 45 2.2 32 648 ÷ 28
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Assessment

Learning outcomes(LOs)
LO 1
Numbers, Operations and RelationshipsThe learner will be able to recognise, describe and represent numbers and their relationships, and to count, estimate, calculate and check with competence and confidence in solving problems.
Assessment standards(ASs)
We know this when the learner:
1.2 describes and illustrates various ways of writing numbers in different cultures (including local) throughout history;
1.3 recognises and represents numbers in order to describe and compare them:
1.3.6 multiples of single-digit numbers to at least 100;
1.3.7 factors of at least any 2-digit whole number;
1.6 solves problems in context including contexts that may be used to build awareness of other Learning Areas, as well as human rights, social, economic and environmental issues;
1.6.1 financial (including buying and selling, profit and loss, and simple budgets);
1.8 estimates and calculates by selecting and using operations appropriate to solving problems:
1.8.1 rounding off to the nearest 5, 10, 100 or 1 000;
1.8.4 multiplication of at least whole 3-digit by 2-digit numbers;
1.8.5 division of at least whole 3-digit by 2-digit numbers;
1.9 performs mental calculations:
1.9.2 multiplication of whole numbers to at least 10 × 10;
1.10 uses a range of techniques to perform written and mental calculations with whole numbers:
1.10.1 adding and subtracting in columns;
1.10.4 doubling and halving;
1.10.5 using a calculator;
1.11 uses a range of strategies to check solutions and judge the reasonableness of solutions;
1.12 recognises, describes and uses:1.12.1 the reciprocal relationship between multiplication and division (e.g. if 5 × 3 = 15 then 15  3 = 5 and 15  5 = 3);1.12.3 The commutative, associative and distributive properties with whole numbers (the expectation is that learners should be able to use the properties and not necessarily know the names).
LU 2
Patterns, functions and algebraThe learner will be able to recognise, describe and represent patterns and relationships, as well as to solve problems using algebraic language and skills.
We know this when the learner:
2.2 describes observed relationships or rules in own words;
2.6 determines, through discussion and comparison, the equivalence of different descriptions of the same relationship or rule presented:
  • verbally;
2.6.3 by number sentences.

Memorandum

ACTIVITY 1

3.1

34
2 4 4 6 2 7

3.2

61
Res 1 1 5 5 6 1

4. 4.1 20 4.11 72

4.2 48 4.12 54

4.3 6 4.13 306

4.4 9 4.14 243 1 2 size 12{ { { size 8{1} } over { size 8{2} } } } {}

4.5 56 4.15 518

4.6 72 4.16 36

4.7 7 4.17 48

4.8 70 4.18 12

4.8 7 4.19 9

4.10 70 4.20 40

ACTIVITY 2

1.1 26 26

1.2 30 30

ACTIVITY 3

1.1 5

1.2 86

1.3 359

1.4 4 625

1.5 32 174

2. When any number is divided by 1, the answer always remains the number

BRAIN TEASERS

1 5 size 12{ { { size 8{1} } over { size 8{5} } } } {}

1 86 size 12{ { { size 8{1} } over { size 8{"86"} } } } {}

1 359 size 12{ { { size 8{1} } over { size 8{"359"} } } } {}
1 4625 size 12{ { { size 8{1} } over { size 8{"4625"} } } } {}

Fractions

3. 3.1 O E 3.2 O E

3.3 O E 3.4 O E

3.5 O E

4. Shows “Error” (Answer is incorrect)

BRAIN TEASERS

45

216

ACTIVITY 4

1.1 a) 10

  1. 10
  2. 3
  3. 25
  4. 20
  5. 14 rem 2

14 2 7 size 12{ { { size 8{2} } over { size 8{7} } } } {}

ACTIVITY 5

1.

2 5 9 12 147 256 1 438 2 652

O falls away. Each number moves one place to the right.

2.

3 8 12 26 147 325

2 Noughts fall away. Each number moves two places to the right.

3.

5 7 13 45 126 382

3 Noughts falls away. Each number moves three places to the right.

2. 2.1 = (1 380 size 12{ div } {} 110) size 12{ div } {} 6

= 138 size 12{ div } {} 6

= 23

2.2 = (32 840 size 12{ div } {} 10) size 12{ div } {} 4

= 3 284 size 12{ div } {} 4

= 821

2.3 = (15 500 size 12{ div } {} 100) size 12{ div } {} 5

= 155 size 12{ div } {} 5

= 31

2.4 = (312 300 size 12{ div } {} 100) size 12{ div } {} 3

= 3 123

= 1 041

3. 3.1 = 105 size 12{ div } {} 3 size 12{ div } {} 7 3.2 = 216 size 12{ div } {} 4 size 12{ div } {} 6

= 35 size 12{ div } {} 7 = 54 size 12{ div } {} 6

= 5 = 9

3.3 = 432 size 12{ div } {} 8 size 12{ div } {} 3 3.4 = 126 size 12{ div } {} 2 size 12{ div } {} 7

= 54 size 12{ div } {} 3 = 63 size 12{ div } {} 7

= 18 = 9

5. 5.1 = (3 000 + 45 ) size 12{ div } {} 15

= ( 3 000 size 12{ div } {} 15) + ( 45 size 12{ div } {} 15

= 200 + 3

= 203

5.2 = (2 000 + 500 + 75 ) size 12{ div } {} 25

= (2 000 size 12{ div } {} 25) + ( 500 size 12{ div } {} 25 ) + ( 75 size 12{ div } {} 25 )

= 80 + 20 + 3

= 103

ACTIVITY 8

1.

a) 2
b) 6
c) 20
d) 175
e) 400

ACTIVITY 12

186 250

1.1 25 4650 ¯ size 12{"25" {\lline overline "4650"} } {} 1.2 21 5250 ¯ size 12{"21" {\lline overline "5250"} } {}

-25 -42

215 105

-200 -105

150 0

-150 -0

.

1.3 63 1.4

197

50 9850 ¯ size 12{"50" {\lline overline "9850"} } {}
-50 485 -450 350 -350 42 2648 ¯ size 12{"42" {\lline overline "2648"} } {}

-252

128

-126

2

63 rem 2

2.1 341 rem 5 2.2 1 166

Questions & Answers

Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
Adin
why?
Adin
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
research.net
kanaga
sciencedirect big data base
Ernesto
Introduction about quantum dots in nanotechnology
Praveena Reply
what does nano mean?
Anassong Reply
nano basically means 10^(-9). nanometer is a unit to measure length.
Bharti
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
Damian Reply
absolutely yes
Daniel
how to know photocatalytic properties of tio2 nanoparticles...what to do now
Akash Reply
it is a goid question and i want to know the answer as well
Maciej
characteristics of micro business
Abigail
for teaching engĺish at school how nano technology help us
Anassong
Do somebody tell me a best nano engineering book for beginners?
s. Reply
there is no specific books for beginners but there is book called principle of nanotechnology
NANO
what is fullerene does it is used to make bukky balls
Devang Reply
are you nano engineer ?
s.
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
Tarell
what is the actual application of fullerenes nowadays?
Damian
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
Tarell
what is the Synthesis, properties,and applications of carbon nano chemistry
Abhijith Reply
Mostly, they use nano carbon for electronics and for materials to be strengthened.
Virgil
is Bucky paper clear?
CYNTHIA
carbon nanotubes has various application in fuel cells membrane, current research on cancer drug,and in electronics MEMS and NEMS etc
NANO
so some one know about replacing silicon atom with phosphorous in semiconductors device?
s. Reply
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Harper
Do you know which machine is used to that process?
s.
how to fabricate graphene ink ?
SUYASH Reply
for screen printed electrodes ?
SUYASH
What is lattice structure?
s. Reply
of graphene you mean?
Ebrahim
or in general
Ebrahim
in general
s.
Graphene has a hexagonal structure
tahir
On having this app for quite a bit time, Haven't realised there's a chat room in it.
Cied
what is biological synthesis of nanoparticles
Sanket Reply
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
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Source:  OpenStax, Mathematics grade 5. OpenStax CNX. Sep 23, 2009 Download for free at http://cnx.org/content/col10994/1.3
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